145963488 has 96 divisors (see below), whose sum is σ = 420336000. Its totient is φ = 43983360.

The previous prime is 145963487. The next prime is 145963501. The reversal of 145963488 is 884369541.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×145963488² = 42610679658252288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145963487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292263 + ... + 292761.

It is an arithmetic number, because the mean of its divisors is an integer number (4378500).

Almost surely, 2^145963488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145963488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210168000).

145963488 is an abundant number, since it is smaller than the sum of its proper divisors (274372512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

145963488 is a wasteful number, since it uses less digits than its factorization.

145963488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 792 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The square root of 145963488 is about 12081.5350018116. The cubic root of 145963488 is about 526.5198444192.

The spelling of 145963488 in words is "one hundred forty-five million, nine hundred sixty-three thousand, four hundred eighty-eight".